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Finding the Fourth Proportional to 17,770.69, 24,523.09 and 11,713.51

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Solution

The fourth proportional to 17,770.69, 24,523.09 and 11,713.51 is: 16,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.69 : 24,523.09 = 11,713.51 : x
  2. Step 2: Convert to fraction form
    17,770.69/24,523.09 = 11,713.51/x
  3. Step 3: Cross multiply
    17,770.69x = 24,523.09 × 11,713.51
  4. Step 4: Simplify right side
    17,770.69x = 287,251,459.95
  5. Step 5: Solve for x
    x = 287,251,459.95/17,770.69
  6. Step 6: Final answer
    x = 16,164.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.